盒式地图集：地图集的间隔版本

IF 3.2 3区计算机科学 Q2 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

International Journal of Approximate Reasoning Pub Date : 2025-04-04 DOI:10.1016/j.ijar.2025.109441

Arthur Ignazi, Remy Guyonneau, Sébastien Lagrange, Sébastien Lahaye

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引用次数: 0

摘要

本文提出了一种将图谱的概念引入区间分析的方法——盒图谱。这一新概念使区间分析方法直接应用于紧致流形成为可能。这对于解决路径规划问题或计算机器人中的可达性非常有用。为了证明该方法的相关性，提出了两个经典流形的盒图集，并给出了一个路径规划问题的应用。本文还提出了一种2维紧致流形箱图集相容的铺装构造。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Box atlas: An interval version of atlas

This paper presents an adaptation of the notion of atlas to interval analysis named box atlas. This new concept makes it possible to directly use interval analysis methods on compact manifolds. This can be useful to solve path planning problems or to compute attainability in robotics. To demonstrate the relevance of the approach, a box atlas for two classic manifolds is proposed and an application for a path planning problem is presented. The paper also proposes a paving construction for every compact manifolds of dimension 2 that is box atlas compatible.

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来源期刊

International Journal of Approximate Reasoning 工程技术-计算机：人工智能

CiteScore

6.90

自引率

12.80%

发文量

170

审稿时长

67 days

期刊介绍： The International Journal of Approximate Reasoning is intended to serve as a forum for the treatment of imprecision and uncertainty in Artificial and Computational Intelligence, covering both the foundations of uncertainty theories, and the design of intelligent systems for scientific and engineering applications. It publishes high-quality research papers describing theoretical developments or innovative applications, as well as review articles on topics of general interest. Relevant topics include, but are not limited to, probabilistic reasoning and Bayesian networks, imprecise probabilities, random sets, belief functions (Dempster-Shafer theory), possibility theory, fuzzy sets, rough sets, decision theory, non-additive measures and integrals, qualitative reasoning about uncertainty, comparative probability orderings, game-theoretic probability, default reasoning, nonstandard logics, argumentation systems, inconsistency tolerant reasoning, elicitation techniques, philosophical foundations and psychological models of uncertain reasoning. Domains of application for uncertain reasoning systems include risk analysis and assessment, information retrieval and database design, information fusion, machine learning, data and web mining, computer vision, image and signal processing, intelligent data analysis, statistics, multi-agent systems, etc.